Let U = {all colleges), A = {colleges that have the word City in their name}, and B = {colleges that have the name of a president in their name}. Describe the elements of the following sets (a) AnB, (b) A', (c) A'nB', (d) AUB

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 2CC
icon
Related questions
Question
Let U = {all colleges), A = {colleges that have the word City in their name), and B = {colleges that have the name of a president in their name). Describe the elements of the following sets.
(a) AnB, (b) A', (c) A'nB', (d) AUB
(a) What is the description of the elements of AnB?
O A. {colleges that do not have the word City in their name}
O B.
{colleges that do not have the word City and do not have the name of a president in their name}
{colleges that have the word City or have the name of a president (or both) in their name}
O C.
O D. {colleges that have the word City and have the name of a president in their name}
(b) What is the description of A'?
O A. {colleges that have the word City in their name}
O B. {colleges that have the name of a president in their name}
O C. {colleges that do not have the name of a president in their name}
O D. {colleges that do not have the word City in their name}
(c) What is the description of A'nB'?
O A. {colleges that have the word City or have the name of a president (or both) in their name}
O B. {colleges that do not have the word City and do not have the name of a president in their name}
O C. {colleges that do not have the word City and have the name of a president in their name}
O D. {colleges that have the word City and have the name of a president in their name}
(d) What is the description of AUB?
O A. {colleges that do not have the word City and have the name of a president in their name}
O B. {colleges that have the word City or have the name of a president (or both) in their name}
O C. {colleges that do not have the word City and do not have the name of a president in their name}
O D. {colleges that have the word City and have the name of a president in their name}
Transcribed Image Text:Let U = {all colleges), A = {colleges that have the word City in their name), and B = {colleges that have the name of a president in their name). Describe the elements of the following sets. (a) AnB, (b) A', (c) A'nB', (d) AUB (a) What is the description of the elements of AnB? O A. {colleges that do not have the word City in their name} O B. {colleges that do not have the word City and do not have the name of a president in their name} {colleges that have the word City or have the name of a president (or both) in their name} O C. O D. {colleges that have the word City and have the name of a president in their name} (b) What is the description of A'? O A. {colleges that have the word City in their name} O B. {colleges that have the name of a president in their name} O C. {colleges that do not have the name of a president in their name} O D. {colleges that do not have the word City in their name} (c) What is the description of A'nB'? O A. {colleges that have the word City or have the name of a president (or both) in their name} O B. {colleges that do not have the word City and do not have the name of a president in their name} O C. {colleges that do not have the word City and have the name of a president in their name} O D. {colleges that have the word City and have the name of a president in their name} (d) What is the description of AUB? O A. {colleges that do not have the word City and have the name of a president in their name} O B. {colleges that have the word City or have the name of a president (or both) in their name} O C. {colleges that do not have the word City and do not have the name of a president in their name} O D. {colleges that have the word City and have the name of a president in their name}
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning